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. If ∠1 ≅ ∠2, m∠KHG = 70, and m∠1 = 3d + 2, find the value of d.

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5 votes

Answer:

d = 36°

Explanation:

If ∠1 ≅ ∠2, thia means both angles are the same.

Given m∠1 = 3d + 2 and m∠KHG = 70

Substitute m∠KHG = 70 = m<1 into the expression to get d

m<1 = 180-m∠KHG

m<1 = 180-70

m<1 = 110

110 = 3d+2

subtarct 2 from both sides

110-2 = 3d+2-2

108 = 3d

rearranging

3d = 108

Divided both sides by 3;

3d/3 = 108/3

d = 36°

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